HMMT 2009 F10
- General 2
- Answer
Let be a right triangle with sides having lengths 3,4 , and 5 . A point is called awesome if is the center of a parallelogram whose vertices all lie on the boundary of . What is the area of the set of awesome points?
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2009 G3.
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\frac{3}{2}
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